(7(20) $^{1/3}$-1) $^{1/3}$

asked by guest
on Nov 20, 2024 at 12:42 am



You asked:

Evaluate the expression: \({\left( 7 \cdot {20}^{\frac{1}{3}} - 1 \right)}^{\frac{1}{3}}\)

MathBot Answer:

\[{\left( 7 \cdot {20}^{\frac{1}{3}} - 1 \right)}^{\frac{1}{3}} = \sqrt[3]{-1 + 7 \cdot \sqrt[3]{20}} \approx 2.62078620405183481170580181196641\]

\[\begin{aligned}{\left( 7 \cdot {20}^{\frac{1}{3}} - 1 \right)}^{\frac{1}{3}}& = \sqrt[3]{7 \cdot \sqrt[3]{20} - 1}\\& = \sqrt[3]{-1 + 7 \cdot \sqrt[3]{20}}\end{aligned}\]

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